Hi Sheila,
I also have anaemia as a result of the RA. My levels dropped to around 9 about two years ago and haven't gone up since. I take iron supplements each day.
Initially, when the iron levels dropped, I was sent for an endoscopy (tube down the throat) and nothing was found so I then had two colonoscopies (tube from the other end

) where they discovered inflammation of the colon and bowels. I was also experiencing other bowel related problems and was passing blood. After many more appointments and discussions, it was decided that the inflammation was RA and the blood loss was contributing to the anaemia. (Sorry for all the graphic details!)
I think anaemia is one of the little joys of RA but can be helped with supplements, monitored and pretty much left providing it isn't masking another underlying condition. I suspect the docs will want to rule out other causes of anaemia and then play it by ear a little.
Regarding the endoscopy, I wouldn't think you would be at increased risk of infection having it before your Rituximab. Maybe if you are concerned, they can postpone it until afterwards.
Hope it all goes well!
Joanna
PS Amanda ... thanks for all the tips on sources of iron. I used to love liver as a child but never eat it now because I don't know how to cook it properly.